On The Teaching Research Mathematical Induction

This paper mainly on teaching mathematical induction of a more complete investigation.Mathematical induction is a positive integer proved extremely relevant to the topic of effective scientific methods. Understand the discovery and development of mathematical induction of history, and clear mathematical induction into contact with the distinction between law, teachers and students to master the basis of mathematical induction. On the logical basis that the principle of mathematical induction accurate understanding of the teachers teaching mathematical induction premise is that students can grasp the key method.First of teaching mathematical induction is a process of teaching. To allow students to be correct application of mathematical induction formal teaching. Formal phenomenon in the law of the nature of teaching, that is, teaching content, it is the inner essence of teaching mathematical induction, the idea is to raise the level of student teaching mathematics. Through limited mathematical induction procedures, completed the verification unlimited conclusion, it is the soul of recursive thinking.Inductive method is found that an effective way to the problem. In the process of teaching mathematical induction, the right to carry out mathematical induction of teaching can help students distinguish between these two methods can be found that lead students to understand the way, is double benefit. Mathematical history of the discovery of many famous conjecture, most attributed to the inductive method. Training students, "observed - induction - guess - prove "that the chain-style of thinking, the development of creative thinking ability of students, the future will be the development of mathematical played the role of adding fuel to the flames. Application of mathematical induction teaching mathematical induction is a very important link. Mathematical induction can be used to prove the positive integers and Identities, inequality, and the divisibility of geometric problems.This paper in the application of mathematical induction, the students common mistakes psychological factors conducted a questionnaire survey. From the survey can be seen in the application of mathematical induction certificate that when students make mistakes led to the main reason for the principle of mathematical induction is not really understand; Another reason is the application of mathematical induction set thinking. Students use mathematical induction to overcome the psychological barrier, an effective way is to understand the limitations of mathematical induction. Can use non-mathematical induction and that some of the positive integers on the proposition that the students are learning and the use of mathematical induction by the need to overcome the psychological dependence and go through the process.